What is 83.7 percent of 512 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 512 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 512 is 100%, so we can write it down as 512=100%.
4. We know, that x is 83.7% of the output value, so we can write it down as x=83.7%.
5. Now we have two simple equations:
1) 512=100%
2) x=83.7%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
512/x=100%/83.7%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 83.7% of 512

512/x=100/83.7
(512/x)*x=(100/83.7)*x       - we multiply both sides of the equation by x
512=1.194743130227*x       - we divide both sides of the equation by (1.194743130227) to get x
512/1.194743130227=x
428.544=x
x=428.544

now we have:
83.7% of 512=428.544